Doc - MCQ:- Calculus, Integrals, Multiple, integrals

# Doc - MCQ:- Calculus, Integrals, Multiple, integrals Notes | Study Topic-wise Tests & Solved Examples for IIT JAM Mathematics - Mathematics

## Document Description: Doc - MCQ:- Calculus, Integrals, Multiple, integrals for Mathematics 2022 is part of Topic-wise Tests & Solved Examples for IIT JAM Mathematics preparation. The notes and questions for Doc - MCQ:- Calculus, Integrals, Multiple, integrals have been prepared according to the Mathematics exam syllabus. Information about Doc - MCQ:- Calculus, Integrals, Multiple, integrals covers topics like and Doc - MCQ:- Calculus, Integrals, Multiple, integrals Example, for Mathematics 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Doc - MCQ:- Calculus, Integrals, Multiple, integrals.

Introduction of Doc - MCQ:- Calculus, Integrals, Multiple, integrals in English is available as part of our Topic-wise Tests & Solved Examples for IIT JAM Mathematics for Mathematics & Doc - MCQ:- Calculus, Integrals, Multiple, integrals in Hindi for Topic-wise Tests & Solved Examples for IIT JAM Mathematics course. Download more important topics related with notes, lectures and mock test series for Mathematics Exam by signing up for free. Mathematics: Doc - MCQ:- Calculus, Integrals, Multiple, integrals Notes | Study Topic-wise Tests & Solved Examples for IIT JAM Mathematics - Mathematics
 1 Crore+ students have signed up on EduRev. Have you?

Question:-1
Solution:
Region bounded  by
x = 0, x = 1 and y = x, y = 1
Now we evaluate the integral by hanging the order of integral

Question:-2 The value of the double integral
Solution:
Region of integration is bounded  y=0, y = x and x = 0, x = π
changing the order of integration

= 2

Question:-3 Evaluate
Solution:

Question4:- Change the order of integration in the double integral
Solution:
Domain of integration is bounded  by the following curves

point of intersection of the curve y =2 - x2 and y = -x we get when

So (-1,1 ) and (2,-2 ) are the points of intersection.
Now the given integral modify by changing the order of integration we get

Question5:- Changing the order of integration of

Solution:

The region of integration is bounded by y = 0, y = x, x = 1, x = 2 after changing the order the integration changes to

Question6:- Let D the trianle bounded by the y-axis the line 2y = π. Then the value of the integral
(a) 1/2 (b) 1 (c) 3/2 (d) 2
Solution:

Question7:- Change the order of integration in the integral
Solution:  The domain of the double integration is bounded  by the curves y = x - 1,

Question8:- Let I =   Then using the transformation x = rcosθ, y = rsinθ, integral is equal to

Solution:
Region of integration is bounded  by curves

for first integral,

Question9:- Evaluate integral
(a) 0 (b) 1/2 (c) 1 (d)2
Solution:
Region of integration is bounded  by curves

changing the order

Question 10:- The value of  equals
(a) π/4 (b) 1/2π (c) 1/4 (d) 1/2
Solution:

Question11:- (a) Find in the area of the smaller of the two regions enclose between

Solution:-

Solution (b)
The region of integration is bounded  by x = 0, x = y, y = 1, y = ∞ and shown in figure changing the order

Question12:- Let f , be a continuous function with
Solution:
Given,  be a continuous function with

Now apply change of order of integration
Domain of integration is given by graph

Question13:- By changing the order of integration, the integral  can be expressed as

Solution:
The domain of integration is bounded  y = 1,   changing the order

The document Doc - MCQ:- Calculus, Integrals, Multiple, integrals Notes | Study Topic-wise Tests & Solved Examples for IIT JAM Mathematics - Mathematics is a part of the Mathematics Course Topic-wise Tests & Solved Examples for IIT JAM Mathematics.
All you need of Mathematics at this link: Mathematics

## Topic-wise Tests & Solved Examples for IIT JAM Mathematics

27 docs|150 tests
 Use Code STAYHOME200 and get INR 200 additional OFF

## Topic-wise Tests & Solved Examples for IIT JAM Mathematics

27 docs|150 tests

### Up next

Track your progress, build streaks, highlight & save important lessons and more!

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

;